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Finding the Third Proportional to 151,338 and 328,884

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Solution

The third proportional to 151,338 and 328,884 is: 714,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,338 : 328,884 = 328,884 : x
  2. Step 2: Convert to fraction form
    151,338/328,884 = 328,884/x
  3. Step 3: Cross multiply
    151,338x = 328,884 × 328,884
  4. Step 4: Simplify right side
    151,338x = 108,164,685,456
  5. Step 5: Solve for x
    x = 108,164,685,456/151,338
  6. Step 6: Final answer
    x = 714,722.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.